Cumulative Standards Review
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A 90^(∘) rotation counterclockwise about the origin will change the coordinates of the vertices such that (a,b)→ (- b,a).
C
Let's start by looking at the given triangle.
When a figure is rotated 90^(∘) counterclockwise about the origin, the coordinates of the image's vertices will change in the following way. (a,b)→ (- b,a) Using this rule and the vertices of the triangle, we can find the x- and y-coordinates of the rotated point F.
(a,b) | (- b,a) |
---|---|
F(2,1) | F'(- 1,2) |
The obtained coordinates correspond to the option C.